Christian Klamler’s ”A distance measure for choice functions” [Social Choice and Welfare 30 (2008) 419–425]: a correction

Davide Carpentiere, Alfio Giarlotta () and Stephen Watson
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Davide Carpentiere: University of Catania
Alfio Giarlotta: University of Catania
Stephen Watson: York University

Social Choice and Welfare, 2024, vol. 62, issue 4, No 7, 785-788

Abstract: Abstract An extensive choice over X is a function assigning to any subset S of X a possibly empty subset of S. Klamler (Soc Choice Welf 30:419–425, 2008) shows that the operation of symmetric difference induces a metric on the family of extensive choices over X, and this metric is characterized by five axioms A1–A5. We provide counterexamples to Klamler’s result, suggest a slight modification of axioms A4 and A5 to obtain a correct characterization, and finally observe that axiom A4 is redundant.

Date: 2024
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DOI: 10.1007/s00355-023-01497-9

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